3 papers
math.AC2024
Hochster's type formulae
Fernando Sancho de Salas, Alejandro Torres Sancho
We give an elementary proof and generalize some Hochsters's type formulae on local cohomology and Ext's of squarefree modules
math.AG2024
On Koszul complex of a supermodule
Darío Sánchez Gómez, Fernando Sancho de Salas
This paper is devoted to an exposition of the Koszul complex of a supermodule and its Berezinian from an intrinsic and as general as possible point of view. As an application, an a…
math.CO2023
Dualizing and canonical complexes on finite posets
Fernando Sancho de Salas, Alejandro Torres Sancho
We develop Grothendieck's theory of dualizing complexes on finite posets, and its subsequent theory of Cohen-Macaulayness.